Factors of 1144
The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, and 1144. In total, 1144 has 16 factors. Its prime factorization is 2³ × 11 × 13, and the sum of all its factors is 2520.
All factors of 1144
Here are all 16 factors of 1144, listed from smallest to largest.
Factor pairs of 1144
These 8 pairs of whole numbers each multiply to give 1144.
Prime factorization of 1144
Dividing 1144 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1144 are 2, 11, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 1144
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1144
| Number of factors | 16 |
|---|---|
| Sum of factors | 2520 |
| Sum of proper factors | 1376 |
| Prime factorization | 2³ × 11 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1144 interesting
- 1144 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 1144 is an abundant number: its proper factors sum to 1376, which is 232 more than 1144 itself.
- 1144 has 3 distinct prime factors (2, 11, 13), which is why it has so many divisors.
How to find the factors of 1144 yourself
Divide 1144 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √1144 ≈ 33.82, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1144.
Frequently asked questions about 1144
What are the factors of 1144?
Is 1144 a prime number?
What is the prime factorization of 1144?
What two numbers multiply to give 1144?
What is the sum of the factors of 1144?
Is 1144 a perfect square?
What is the largest factor of 1144 other than itself?
How many factors does 1144 have?
Explore more
Try another number in the factor calculator, break 1144 down further with the prime factorization calculator, or compare 1144 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.